Question

Two-variable linear inequalities questions.

Answer 1

@kelliegirl33 Here it is. And again, thanks!

Answer 2

3x - 2y <= 4
-2y <= -3x + 4
y >= 3/2x - 2 ===> y int is -2
to find x intercept, sub in 0 for y
3x - 2y <= 4
3x - 2(0) <= 4
3x <= 4
x <= 4/3 or 1 1/3 ===> x int is 4/3 or 1 1/3

and as you can see on the graph, the line crosses the x intercept at -2 and the y int at 1 1/3. So your answer is : 3x - 2y <= 4

Answer 3

any questions ?

Answer 4

No ma'am.

Answer 5

:)

Answer 6

Here's the next one. I really can't thank you enough. :)

Answer 7

y <= 5

Answer 8

Man, you're good! I've only got 2 more after this one. Is that okay?

Answer 9

x < 4

Answer 10

3x + 2y <= 600
3(150) + 2(60) <= 600
450 + 120 <= 600
570 <= 600 (correct)

150 lbs of hamburgers and 60 lbs of hot dogs

Answer 11

Oh my gosh you are super awesome! You also explain the questions, which is really helpful! I only have one more, do you think you can do it?

Answer 12

I can try

Answer 13

Thank you so much! :D

Answer 14

3x - 2y <= 7
-2y <= -3x + 7
y >= 3/2x - 7/2 ==> y int is -7/2 or - 3 1/2
find the x intercept by subbing in 0 for y
3x - 2(0) <= 7
3x <= 7
x <= 7/3 or 2 1/3

As you can see on your graph, the line cross the y int at -3 1/2 and the x intercept at 2 1/3. and shading is above the line because y >= 3/2x - 7/2 (greater then sign is used)

answer is : 3x - 2y <= 7

I hope I helped, but I have to go now. Good luck with this stuff :)

Answer 15

Okay. Again, thank you. Bye.